The Weyl representation on the torus

  title={The Weyl representation on the torus},
  author={Alejandro M. F. Rivas and Alfredo M. Ozorio de Almeida and February},
We construct reflection and translation operators on the Hilbert space corresponding to the torus by projecting them from the plane. These operators are shown to have the same group properties as their analogue on the plane. The decomposition of operators in the basis of reflections corresponds to the Weyl or center representation, conjugate to the chord representation which is based on quantized translations. Thus, the symbol of any operator on the torus is derived as the projection of the… CONTINUE READING


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